The simultaneous effect of two factors, temperature (
T) and
pH, on the enzymatic hydrolysis of
S. canicula muscle by-products was evaluated by a rotatable second order design [35 ]. The values of the variables tested for each protease and the procedure of codification-decodification of the variables is summarized in
Table S1. The commercial proteases were Alcalase 2.4 L (2.4 Anson Unit/g, AU/g), Esperase 8 L (8 KNovo Protease Unit/g, KNPU/g) and Protamex (Novozymes, Nordisk, Bagsvaerd, Denmark), and the concentration employed was 1% (
v/
w of muscle) in all cases. The rest of the experimental conditions were maintained constant: ratio solid:liquid (1:5) and 200 rpm of agitation. The kinetics of hydrolysis were performed in a controlled pH-Stat system with a 100 mL glass-reactor and extended up to 6 h. At the end of hydrolysis, the samples were heated at 90 °C for 15 min to inactivate the proteases and were stored at −20 °C until analysis.
Orthogonal least-squares calculation on factorial design data were used to obtain the empirical equations describing the different dependent variables (hydrolysis kinetic parameters and bioactivities) assessed (
Y) in function of the independent variables (
T and
pH):
where
Y represents the parameters to be modelled;
b0 is the constant coefficient,
b1 and
b2 are the coefficient of linear effects,
b12 is the coefficient of interaction effect among
pH and
T, and
b11 and
b22 are the coefficients of quadratic effects. The Student
t-test (α = 0.05) was employed to determine the statistical significance of the coefficients. The goodness-of-fit was established as the determination coefficient (R
2) and the model consistency by the Fisher
F-test (α = 0.05) using the following mean squares ratios:
| the model is acceptable when |
F1 = Model/Total error | F1≥Fdennum |
F2 = (Model + Lack of fitting)/Model | F2≤Fdennum |
F3 = Total error/Experimental error | F3≤Fdennum |
F4 = Lack of fitting/Experimental error | F4≤Fdennum |
are the theoretical values to α = 0.05 with the corresponding degrees of freedom for numerator (num) and denominator (den). The equation is acceptable when
F1 and
F2 are validated.
F3 and
F4 were additionally calculated to improve the degree of robustness and consistency of the empirical equations obtained. A Microsoft Excel spreadsheet was employed for the procedures of numerical fittings, coefficient estimates, and statistical evaluations.
Vázquez J.A., Blanco M., Massa A.E., Amado I.R, & Pérez-Martín R.I. (2017). Production of Fish Protein Hydrolysates from Scyliorhinus canicula Discards with Antihypertensive and Antioxidant Activities by Enzymatic Hydrolysis and Mathematical Optimization Using Response Surface Methodology. Marine Drugs, 15(10), 306.